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Finding the Fourth Proportional to 33,502.17, 50,260.55 and 10,128

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Solution

The fourth proportional to 33,502.17, 50,260.55 and 10,128 is: 15,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,502.17 : 50,260.55 = 10,128 : x
  2. Step 2: Convert to fraction form
    33,502.17/50,260.55 = 10,128/x
  3. Step 3: Cross multiply
    33,502.17x = 50,260.55 × 10,128
  4. Step 4: Simplify right side
    33,502.17x = 509,038,850.40
  5. Step 5: Solve for x
    x = 509,038,850.40/33,502.17
  6. Step 6: Final answer
    x = 15,194.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.